272625680 has 80 divisors (see below), whose sum is σ = 677426880. Its totient is φ = 101730816.

The previous prime is 272625673. The next prime is 272625713. The reversal of 272625680 is 86526272.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×272625680² = 148649522790924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100502 + ... + 103178.

It is an arithmetic number, because the mean of its divisors is an integer number (8467836).

Almost surely, 2^272625680 is an apocalyptic number.

272625680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338713440).

272625680 is an abundant number, since it is smaller than the sum of its proper divisors (404801200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272625680 is a wasteful number, since it uses less digits than its factorization.

272625680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 272625680 is about 16511.3803178293. The cubic root of 272625680 is about 648.4187838078.

The spelling of 272625680 in words is "two hundred seventy-two million, six hundred twenty-five thousand, six hundred eighty".